Compute the population mean for the following scores: 5, 7, 8, 3, 4, 4, 2, 7, 1, 6, Compute the sample mean for the following scores: -8, -4, -7, -6, -8, -5, -7, -9, -2, 0, For the following problem, use the following scores: 5, 8, 8, 8, 7, 8, 9, 12, 8, 9, 8, 10, 7, 9, 7, 6, 9, 10, 11, 8. The variance of a sample of 169 observations equals 576. 3 84 Imagine a research study in which psychologists are interested in learning the typical age at which someone might be diagnosed with schizophrenia. Doing reproducible research. That is, it is the value that produces the lowest amount of error from all other values in the data set. Figure 6. For example, in the set of numbers 1, 3, 4, 4, 5, 8, and 9, the median is 4 because there are three numbers (1, 3, and 4) below it and three numbers (5, 8, and 9) above it. Which of the following is a measure of variability? Yet, there are differences in what each one is and how it is found. 3+.5(1) Using the same procedure, we can see that the median of the upper half, or the third quartile ( The median can also be thought of as the 50th percentile. However, the different numbers do not have any ordered relationship with one another. In figure 5, the median is in the geometric middle as there is a similar distribution of higher and lower scores. The descriptive statistics presented in this chapter serve to start to describe the distribution of our data objectively and mathematically our first step into statistical analysis! 6 90 ), is 7. In a perfectly symmetrical (normal) distribution, all three measures of central tendency are located at the same value. 0%. Information about the context of the situation being considered, The data value (value of the variable) that represents the percentile, The percentage of individuals or items with data values below the percentile, The percentage of individuals or items with data values above the percentile. A classic example of the above right-skewed distribution is income (salary), where higher-earners provide a false representation of the typical income if expressed as a mean and not a median. Using the data from the frequency table, we have the following: Refer to Table 2.25. The measure of dispersion that is based upon absolute values of deviations from the mean is the: Average or mean deviation. Construct two different histograms. China 54 Your first step is to put them in numerical order (1, 2, 2, 4, 5, 7). (100) = 63.80. n We rely on the most current and reputable sources, which are cited in the text and listed at the bottom of each article. What is the shape of this histogram? Which of the following provides a measure of central location for the data? where the center of our data falls), but often give different answers. In order to calculate the median, suppose we have the data below: We first need to rearrange that data into order of magnitude (smallest first): Our median mark is the middle mark - in this case, 56 (highlighted in bold). For example, suppose Duke accepts SAT scores at or above the 75th percentile. Ans e. All of the above statements are true Thus, the median of the lower half, or the first quartile (

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